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Vereshchagin's Collection of Arithmetic Problems

by I. P. Vereshchagin

Translated by Valery Manokhin, PhD

The largest arithmetic problem collection of imperial Russia — 3,238 problems with the complete answer key, in English for the first time. Approved by the Ministry of Public Education for the Empire's secondary schools and teachers' seminaries, and separately for the girls' gymnasia of the Empress Maria department, it ran to eighteen editions. Three Parts and fifty-seven sections cover whole numbers and compound named numbers; divisibility; common and decimal fractions; the metric system; ratio and proportion; and the commercial rules — the rule of three, percentage, interest, discount, partnership and alligation. Vereshchagin insisted his data be real, so the problems run on railway timetables, the heights of Elbrus and Everest, the assay of the new silver ruble, and Eratosthenes measuring the earth between Syene and Alexandria. Translated from the seventh edition of 1891, with source-exact problem numbering.

· 57 numbered articles · 3238 exercises · 397 pages

Where this fits in school — US, UK and Canada ↓ Adults and self-learners welcome — great mathematics has no age limit.

United States4–8Elementary math → Pre-Algebra
United KingdomYears 5–9KS2 into KS3
CanadaOntario 4–8QC Elementary 4 – Secondary II

Not covered in this book

percentages · negative numbers · statistics and data handling · probability · metric units — the problems use pre-revolutionary Russian measures, with a conversion table

Source these strands elsewhere. They are missing from the book, not from this description.

How this book fits

See the whole sequence →

Problems to work alongside it

Table of contents

The printed contents page in full.

Translator's Introduction

Note on Notation

Glossary of Historical Units and Currency

Part I. Whole Numbers

Answers to the Problems of Part I

Part II. Fractional Numbers

Answers to the Problems of Part II

Part III. Ratios and Proportions

Answers to the Problems of Part III

Search the contents of every book →

Formats and editions

FormatPriceISBN-13WhereBuy
PDF$44.95Gumroad · Instant downloadBuy →
Paperback$54.95978-1-919012-15-5AmazonBuy →
Hardcover$84.95978-1-919012-16-2AmazonBuy →

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Product details

Publisher
Northern Star Academic Press
Language
English
Translator
Valery Manokhin, PhD
Print length
397 pages
First published
2026-08-01

Published by Northern Star Academic Press · First faithful English translation from the original Russian edition

Browse the full Russian Math Classics series on Amazon →

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